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Simplifying 3r2 + 8r + 15 = 0 Reorder the terms: 15 + 8r + 3r2 = 0 Solving 15 + 8r + 3r2 = 0 Solving for variable 'r'. Begin completing the square. Divide all terms by 3 the coefficient of the squared term: Divide each side by '3'. 5 + 2.666666667r + r2 = 0 Move the constant term to the right: Add '-5' to each side of the equation. 5 + 2.666666667r + -5 + r2 = 0 + -5 Reorder the terms: 5 + -5 + 2.666666667r + r2 = 0 + -5 Combine like terms: 5 + -5 = 0 0 + 2.666666667r + r2 = 0 + -5 2.666666667r + r2 = 0 + -5 Combine like terms: 0 + -5 = -5 2.666666667r + r2 = -5 The r term is 2.666666667r. Take half its coefficient (1.333333334). Square it (1.777777780) and add it to both sides. Add '1.777777780' to each side of the equation. 2.666666667r + 1.777777780 + r2 = -5 + 1.777777780 Reorder the terms: 1.777777780 + 2.666666667r + r2 = -5 + 1.777777780 Combine like terms: -5 + 1.777777780 = -3.22222222 1.777777780 + 2.666666667r + r2 = -3.22222222 Factor a perfect square on the left side: (r + 1.333333334)(r + 1.333333334) = -3.22222222 Can't calculate square root of the right side. The solution to this equation could not be determined.
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